Novel slow-fast behaviour in an oscillator driven by a frequency-switching force

DOI10.1016/j.cnsns.2022.107032OpenAlexW4310074171MaRDI QIDQ2684114

Carles Bonet, Pau Martín, Mike R. Jeffrey, Josep M. Olm

Publication date: 16 February 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04577

zbMATH Keywords

switchingnonsmoothFilippovslow-fastageingtimescaleCnanard

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Ordinary differential inclusions (34A60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60) Canard solutions to ordinary differential equations (34E17)

Cites Work

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• On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$

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